We have an Outback 330RL, live in the San Diego area. I thought the "upgraded" ducted 15k AC unit would be adequate for our trailer...it wasn't, we added a Coleman Mach Energy Saver 13.5k unit to the bedroom (the 15k unit is also a Coleman Mach). As already stated, the second AC will replace the vent in the bedroom. With the second AC the trailer cools down quickly and maintains a comfortable temperature with no problem.
In our case, the second AC is not connected to the thermostat, it has individual controls on the unit itself. We are stationary full timers so we do watch TV in the bedroom, the bedroom unit is LOUD.
Your 332FK is essentially the same chassis as my 330RL just a different floor plan.
2017 Outback 330RL 15th Anniversary Edition (stationary full timer)
2006 GMC 2500HD Duramax CC 4x4 w/SunLite pop-up camper
Dust Junkies Racing, 3 time Baja 1000 Class Champions